Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.
Which equation will represent Jada’s take-home earnings in dollars, E, if she works at the bookstore for h hours in one day.
12.20h + 7.15 = E
12.20h - 7.15 = E
7.15h + 12.20 = E
7.15h - 12.20 = E
Answers
Answer:
B
Step-by-step explanation:
Answer:
E = 12.20(h) - 7.15
h = 6.82 hours
Given:
Pay hour = $12.20 per hour
Bus fare = $7.15
1.Equation:
Assume
She has work for "h" hours
Total earning = E
So,
E = 12.20(h) - 7.15
If,
Total earning = E = $90.45
So,
E = 12.20(h) - 7.15
90.45 = 12.20(h) - 7.15
h = 6.82 hours
Related Questions
the probability of getting a head on a single toss of a coin is p. suppose that francis starts and continues to flip the coin until a tail shows up, at which point runhan starts flipping. then runhan continues to flip until a tail comes up, at which point francis takes over, and so on. find an expression for pn,m (the proba- bility that francis accumulates n heads before runhan accumulates m heads). hint: your expression may contain px,y, where x and y are arbitrary integers.
Answers
The probability that Francis accumulates n heads before Runhan accumulates m heads is \(P_n\), m = \(pP_n_-_1,_m + (1 - p)(1 - P_m,_n)\).
The probability of an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more probable it is that the event will take place.
probability of getting a head on a single toss of a coin is p,
P(H) = p
Francis starts and continues to flip the coin until a tail shows up,
Condition on the initial flip. If it lands on heads then Francis will win with probability of
\(P_n_-_1, m\)
whereas if it lands tails then Runhan will win with the probability \(P_m\), n and so Francis will win with the probability of :
1 - \(P_m\), n.
We can also say that from above two conditions,
\(P_n\), m = \(pP_n_-_1,_m + (1 - p)(1 - P_m,_n)\)
Learn more about Probability :
https://brainly.com/question/15992180
#SPJ4
Does this graph show a function? Explain how you know.
• A. No; there are yvalues that have more than one x-value.
O B. No; the graph fails the vertical line test.
O C. Yes; there are no yvalues that have more than one x-value.
O D. Yes; the graph passes the vertical line test.
HELP PLSS
Answers
let a be a finite set. let s be the set of all subsets of a. then |s| = 2|a| . (the set s is called the power set of a
Answers
A finite set is a set that has a specific number of elements (as opposed to an infinite set, which has an infinite number of elements).
A subset is a set that contains some (or all) of the elements of another set. For example, if A = {1, 2, 3, 4}, then {1, 2} is a subset of A.
The power set of a set is the set of all subsets of that set. So, if A = {1, 2, 3}, then the power set of A is the set { {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} }, which contains all possible combinations of the elements of A. Note that the power set always includes the empty set and the set itself.
Now, let's prove the statement |s| = 2|a|.
To do this, we need to show that the number of elements in s (the power set of a) is equal to 2 to the power of the number of elements in a.
First, let's think about how many subsets a finite set with n elements has.
For each element in the set, there are two choices: include it in a particular subset, or don't include it. So, for one element, there are 2 choices. For two elements, there are 2 x 2 = 4 choices. For three elements, there are 2 x 2 x 2 = 8 choices. In general, for a set with n elements, there are 2 x 2 x ... x 2 (n times) = 2^n choices.
Therefore, the power set of a set with n elements has 2^n elements.
So, in our case, if a is a finite set with |a| elements, then the power set of a (s) has 2^|a| elements.
Therefore, |s| = 2^|a|, which proves that |s| = 2|a|.
I hope that helps! Let me know if you have any other questions.
Hi! The given statement is true. If 'a' is a finite set, then 's' is the set of all subsets of 'a', also known as the power set of 'a'. The cardinality (or size) of the power set, denoted by |s|, is equal to 2 raised to the power of the size of the finite set 'a', i.e., |s| = 2^|a|.
Visit here to learn more about finite set brainly.com/question/31212187
#SPJ11
Solve (x – 3)² =5 give your answers to the correct 3 significant figures
Answers
Answer:
5.236
Step-by-step explanation:
You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %
Answers
a. The price of the consol is approximately $133.33.
b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.
c. Your holding period return is approximately -49.99%.
a. The price of the consol can be calculated using the formula for the present value of a perpetuity:
Price = Annual Payment / Interest Rate
In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:
Price = $4 / 0.03 ≈ $133.33
Therefore, the price of the consol is approximately $133.33.
b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:
New Price = Annual Payment / New Interest Rate
Substituting the values, we get:
New Price = $4 / 0.04 = $100
The percentage change in the price of the consol can be calculated using the formula:
Percentage Change = (New Price - Old Price) / Old Price * 100
Substituting the values, we have:
Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%
The percentage change in the interest rate is simply the difference between the old and new interest rates:
Percentage Change in Interest Rate = (4% - 3%) = 1%
Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.
c. The holding period return can be calculated using the formula:
Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100
The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:
Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67
Substituting the values into the holding period return formula:
Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%
Therefore, the holding period return is approximately -49.99%.
Learn more about holding period
brainly.com/question/32568151
#SPJ11
An lon has a net charge of 3. If this ion has 8 protons, how many electrons does it have?
OA 3
OB. 5
OC. 7
OD. 8
O E. 11
Answers
Answer:
A charge of three means that it loses 3 electrons for stability.
Hence electrons = 8 + 3
= 11
)Find constants a, b and c, such that the polynomial function f(x) = ax³ + bx² + c will have a local extremum at the point (2, 11) and a point of inflection at (1, 5)
2) A cardboard box with a square base is to have a volume of 8 L. Find the least surface area of the box.
3) Determine all extreme points (local and/or global max/min) for the functions below on the given intervals.
f(x)=3 3√ x^5-15^3 √ x^2,x ∈(1,5) b.f(x)=0.12x/x^2+2x+2, x∈(-2,4)
Answers
To have a local extremum at the point (2, 11), the derivative of the function at x = 2 must be zero. Additionally, to have a point of inflection at (1, 5), the second derivative of the function at x = 1 must be zero.
is it A. B. Or C.
please help
Answers
Answer:c?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
you choose a number with 3 digits from 0 to 9; the state chooses a three-digit winning number at random and pays you $500 if your number is chosen. Because there are 1000 numbers with three digits, you have probability 1/1000 of winning. Taking X to be the amount your ticket pays you, the probability distribution of X is
Answers
The probability distribution of X is given as follows:
P(X = 500) = 1/1000.P(X = 0) = 999/1000.How to define a probability distribution?A probability is defined as the division of the number of desired outcomes by the number of total outcomes.
A probability distribution gives the probability of all the possible outcomes in the context of a problem.
There are two outcomes for this problem, listed as follows:
Winning $500.Winning nothing = losing the game.Only one of the 1000 combinations are a winning combination, hence the probability distribution of X is given as follows:
P(X = 500) = 1/1000.P(X = 0) = 999/1000.More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
work out the area of the shape
Answers
Answer:
88 \(cm^{2}\)
Step-by-step explanation:
We need to find the area of the rectangle and the triangle.
Area of the rectangle:
a = length x width
a = 11 x 6 = 66
Area of the triangle:
a = \(\frac{ b x h}{2}\) We need to find the base and height of the triangle. The base is the same length as the length of the rectangle: 11 and the height is 10 - 6 or 4
a = \(\frac{11 x 4}{2}\)
a = \(\frac{44}{2}\)
a = 22
Add the area of the rectangle and the triangle together. 66 + 22 = 88
Let m=[2 3 −6 11]. Find formulas for the entries of M^n, where n is a positive integer.
Answers
Given the matrix M = [2, 3, -6, 11], we can rewrite it as a 2x2 matrix:
M = | 2 3 |
| -6 11 |
To find M^n, we'll need to multiply the matrix by itself (n-1) times. The resulting matrix will also be a 2x2 matrix. Let's call the entries of M^n as a, b, c, and d:
M^n = | a b |
| c d |
To find the formulas for a, b, c, and d in terms of n, we can look at patterns in the matrix raised to different powers. For example, M^2, M^3, and so on. After observing the pattern, we find that the formulas for the entries of M^n are as follows:
a = 2^(n-1)
b = 3(2^(n-1) - 1)
c = -6(2^(n-1) - 1)
d = 2^(n-1) + 11(2^(n-1) - 1)
These formulas give you the entries of the matrix M^n for any positive integer n.
If you need to learn more about matrix, click here:
https://brainly.com/question/29593984
#SPJ11
COULD SOMEONE PLS HELP
Answers
Answer:
125
Step-by-step explanation:
Angles on a straight line =180
180- (35+20) =125
Reasoning= angles on a straight line add up to 180
so 180 - (35+20) = 135
Leah rides her bike to school a total of 80.75 miles per week. The miles (m) she rides in one day can be calculated using the equation below.
5m=80.75
Answers
Answer: 16.15
Step-by-step explanation:
Divide by 5 on both sides
m=16.15
Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches.
Which equation represents h, his sister’s height in inches?
1.4 h + 6 = 70
2.4 h minus 6 = 70
3.6 h + 4 = 70
4.6 h minus 4 = 70
Answers
Jahlil's height = 70 inches
Jahlil's height = 4 times his sister's height - 6 inches
So, we can write the equation as:
70 = 4h - 6
where h represents his sister's height in inches.
Now, let's solve for h:
70 + 6 = 4h
76 = 4h
h = 76/4
h = 19
Therefore, Jahlil's sister's height is 19 inches.
The correct equation that represents h, his sister's height in inches is 1. 4h + 6 = 70.
PLEASE HELP ME!!!!!!!!! 75/w=150/100
Answers
Answer:
The answer is 75/50
Step-by-step explanation:
Answer:
75/W = 150/100
75/W = 3/2
W x 75/W = W x 3/2
75 = 3W/2
2 x 75 = 2 x 3W/2
150 = 3W
so the answer should be 50 = W
Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠STR =
∠ XYT
∠ TXY
∠ XTY
Answers
Answer:
∠STR is associated with ∠ XYT
Therefore, we conclude that:
∠STR = ∠ XYTStep-by-step explanation:
Given
△RST ≅ △TXY
To determine:
∠STR = ?
As
△RST ≅ △TXY
So the triangles △RST and △TXY are congruent to each other.
We know that congruent triangles have equal corresponding parts.Please check the attached graph.
From the graph, it is clear that:
∠STR is associated with ∠ XYT
so
∠STR = ∠ XYT
Therefore, we conclude that:
∠STR = ∠ XYT
download the document below and complete the proof of the triangle sum theorem. once completed, save the file for upload at the bottom of this page.
Answers
The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.
The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.
Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.
Learn more about triangle here: https://brainly.com/question/2773823
#SPJ11
After depositing a check from his grandmother for $45, Tim had a balance of $120.63 in his savings account. He then wrote a check to pay for his electric bill. At the end of the week Tim’s final balance was -$150.85. How much money did Tim withdraw?
Answers
Answer:
I’m pretty sure he withdrew $271.48
Step-by-step explanation:
luke earned a score of 850 on exam a that had a mean of 750 and a standard deviation of 50. he is about to take exam b that has a mean of 38 and a standard deviation of 5. how well must luke score on exam b in order to do equivalently well as he did on exam a? assume that scores on each exam are normally distributed.
Answers
To determine how well Luke must score on exam B in order to do equivalently well as he did on exam A, we need to first standardize his score on exam A using z-scores.
A z-score represents the number of standard deviations a given data point is away from the mean. The formula for calculating z-scores is:
z = (x - μ) / σ
where x is the data point, μ is the mean, and σ is the standard deviation.
In this case, Luke's score on exam A has a z-score of:
z = (850 - 750) / 50 = 2
This means that his score on exam A is 2 standard deviations above the mean.
To do equivalently well on exam B, Luke needs to achieve a score that has the same z-score of 2. We can use the formula for z-scores again to determine what score he needs to achieve:
2 = (x - 38) / 5
Solving for x, we get:
x = 48
Therefore, Luke needs to score 48 on exam B in order to do equivalently well as he did on exam A.
It's important to note that we're assuming that the distributions of the two exams are both normal distributions. If this assumption is not valid, then our answer may not be accurate.
learn more about exam here: brainly.com/question/29657389
#SPJ11
Is it possible for A and B to be in- dependent events yet satisfy A = B?
Answers
No, Is it not possible for A and B to be in- dependent events yet satisfy A = B?
Actually if two events are mutually exclusive it is only in a special case that they can be independent. The definitions state that two events A, B are mutually exclusive iff: P (A ∩ B) = 0, i.e. A ∩ B = ∅, independent iff: P (A ∩ B) = P (A) P (B). Assume know that A, B are both mutually exclusive and independent.
Two events A and B can be independent and yet satisfy A = B. In this case, the two events are identical, for example 'getting a head on the first flip' and they are always independent of themselves.
Explanation:Yes, it is possible for events A and B to be independent and yet satisfy A = B. In probability theory, two events are considered independent if the probability of both events occurring is the product of the probabilities of each event occurring separately. If A = B, it merely means that the two events are identical. For instance, flipping a coin twice, the event A could be 'getting a head on the first flip' and event B could also be 'getting a head on the first flip'. Here, A = B and every event is independent of itself.
Learn more about Event IndependencePerform A Line By Line Estimate For A Proposed Warehouse. The Existing Warehouse Is 10,000SF And Has A Perimeter Of 410LF. The Proposed Warehouse Is 15,000SF, And Has A Perimeter Of 500LF. Calculate The Area And Perimeter Ratios, Enter Them Into The Spreadsheet, And Calculate The Overall Cost For The Proposed 15000 SF Warehouse. Enter The Appropriate Ratio
Answers
The Area Ratio is 1.5. and Perimeter Ratio is 1.22. The estimated overall cost for the proposed 15,000 SF warehouse is $150,000.
To perform a line by line estimate for the proposed warehouse, we'll calculate the area and perimeter ratios between the existing and proposed warehouses. We'll then use these ratios to estimate the overall cost for the proposed 15,000 square feet (SF) warehouse.
Given: Existing Warehouse:
Area: 10,000 SF
Perimeter: 410 LF
Proposed Warehouse:
Area: 15,000 SF
Perimeter: 500 LF
First, let's calculate the area ratio:
Area Ratio = Proposed Area / Existing Area
Area Ratio = 15,000 SF / 10,000 SF
Area Ratio = 1.5
Next, let's calculate the perimeter ratio:
Perimeter Ratio = Proposed Perimeter / Existing Perimeter
Perimeter Ratio = 500 LF / 410 LF
Perimeter Ratio = 1.22 (rounded to two decimal places)
We'll now use these ratios to estimate the overall cost for the proposed 15,000 SF warehouse. Since we don't have specific cost figures, we'll assume a linear relationship between the area and cost.
Cost Estimate = Existing Cost * Area Ratio
Let's assume the existing cost is $100,000.
Cost Estimate = $100,000 * 1.5
Cost Estimate = $150,000
Therefore, the estimated overall cost for the proposed 15,000 SF warehouse is $150,000.
To know more about Ratio here:
https://brainly.com/question/31945112
#SPJ11
Which quadratic function has the largest maximum over the set of real numbers?
Answers
Answer:
the correct answer is D
The correct answer is D
Answer: B
A. x = 1 +/- √5
B. y = -x^2 + 3x +3
C. x = 5 +/- √5
D. y = -x^2 + 3x + 1
Step-by-step explanation:
:)
Please help me out don’t answer if you don’t know I would really appreciate it ;)
What is the simplified version of each expression? Assume all variables are positive
Answers
Answer:
A) 3
B) 2\(\sqrt{6}\)
C) 3\(\sqrt{2}\)
Step-by-step explanation:
A
3x3 = 9
B
24 = 2x2x2x3 We can pull out a pair of 2 and are left with 6
C
18 = 2x3x3 We can pull out a pair of 3 and are left with 2
HURRY! please help i’ll give brainliest
Answers
Answer:
The first and third options.
Explanation:
Look at each column and add the number of families.
. You deposit $200 each month into an account earning 3% interest compounded monthly for 30 years. a. How much total money will you have invested in the account? b. How much will you have in the account? c. How much total interest will you have earned?
Answers
Total amount after 30 years is given by :
\(A=\dfrac{d((1+\dfrac{r}{k})^{Nk}-1}{\dfrac{r}{k}}\)
\(A=\dfrac{200((1+\dfrac{0.03}{12})^{30\times 12}-1}{\dfrac{0.03}{12}}\\\\\\A=\$116547.38\)
Now, total money deposited, T = 200×30×12 = $72000 .
Therefore, we have around $116547.38 in our account and total interest earned is $72000 .
Hence, this is the required solution.
I will give brainlest' can anyone help me? please help me...
what is the equation shown in each diagram? what is the value if x?
please give an explanation so that I can understand.
Answers
2) the value of x is 6 because if you take away the 5 on both sides you get 12 then you divide it by two because there are two x’s.
Answer:
Answer:
Hi nice to meet you !!
This is the same question that i answered before so i sending it here too.
Okay so the diagrams shows one value equal to another value. Essentially whatever is on the left side of the equal sign is equivalent to the right side of the equation
To work out x, we are going to try and move everything (but the x) from the left side of the equation to the right side. To do this, we must take the extra variables and move them to the right and changing the sign while doing so. If the variable on the left is positive then we must move it to the other side and minus it, if the variable on the left in a negative number then you move it to the other side and add it.
Diagram 1:
The equation states that;
x+1+1+1 = 1+1+1+1+1+1+1+1+1+1 (ten ones)
x+3 = 10
Since the variable on the left side (3) is positive, we move it to the other side then minus it from 10.
x=10-3
Therefore x=7.
Diagram 2:
athe equation states that;
x+x+1+1+1+1+1 = 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 (17 ones)
2x+5 = 17
Since the 5 is positive, we minus it from the other side
2x = 17-5
2x = 12
The other diagram ended at this point but since the variable on the left isn't 'x' then the solving isnt completed.
Since the variable was times (×) on the left side, it has to be divided on the right side. Same goes if if multiplication is one one side, divide on the other.
x=12/2
Therefore; x=6
Hope this helps, have a nice day :)
Franks hardware store has a regular rectangular logo for their business that measures 3.4 meters tall with an area that is exactly the maximum area allowed by the building owner
create an equation that could be used to determine l, the unknown side length of the logo
Answers
To solve for l, we can divide both sides of the equation by 3.4m:
l = (maximum area allowed) / 3.4m
This will give us the value of l, which is the unknown side length of the logo.
How come a rectangle is used?A quadrilateral with four equal vertices and parallel sides is referred to as a rectangle. As a result, it is sometimes referred to as an equiangular quadrilateral. Rectangles are also referred to as parallelograms since their opposite sides are equal and parallel.
To determine the unknown side length of the logo, you can use the formula for the area of a rectangle, which is A = l * w, where l is the length and w is the width of the rectangle.
If we let l be the unknown side length of the logo, then we can set up the following equation:
3.4m * l = maximum area allowed
This equation tells us that the product of the height of the logo (3.4m) and its unknown side length (l) must equal the maximum area allowed by the building owner.
To solve for l, we can divide both sides of the equation by 3.4m:
l = (maximum area allowed) / 3.4m
This will give us the value of l, which is the unknown side length of the logo.
To know more about rectangle visit:
https://brainly.com/question/29123947
#SPJ4
Select the equation that shows a proportional relationship between x and y. Oy - 2x + 4 oys 5x O y = 3x - 5 OY-5.8
Answers
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then
where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy .
For x=0, check which equation has y=0.
In option A, .
In option B, .
In option C, .
In option D,
Only in option C, we have a equation of the form with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
Answer:
You can give China brainiest.
Step-by-step explanation:
PLEASE HELP!!!! I provided photos of the problems ! FAST I HAVE SOMEWHERE TO BE IN 2 HOURS AND I NEED IT DONE PLEASE! PLEASE ANSWER ALL QUESTIONS
Answers
The value of function of function by using given operation are h(f(g(x))) is (√x)³/3 , g(h(f(9))) is 9√3 and g(h(f(x))) is x√(x/3).
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
Given the functions,
f(x) = x³,g(x) = √x and h(x) = x/3
f) ⇒
f(g(x)) = f(√x ) = (√x)³
h(f(g(x))) = h(√x)³ = (√x)³/3
g) ⇒
h(f(9)) = 9³/3
g(h(f(9))) = \(\sqrt{9^3/3}\) = 9√3
h) ⇒
h(f(x)) = x³/3
g(h(f(x))) = \(\sqrt{x^3/3}\) = x√(x/3).
Hence "h(f(g(x))) is (√x)³/3 , g(h(f(9))) is 9√3 and g(h(f(x))) is x√(x/3)".
For more about the function,
brainly.com/question/23712366
#SPJ1
NYCab company charges an initial rate of $5.00 for a ride, plus $0.90 for each mile driven. What is the equation that models the total fee for using this cab company? y+____x+______
Answers
Answer:
y = 5 + 0.9x
Step-by-step explanation:
If y is the total fee and x is the miles driven, we get following equation:
y = 0.9x + 5The total comprises of a constant initial rate ($5) and a charge for driven miles (0.9x)